Pith Number

pith:PZ2DJZ3Z

pith:2024:PZ2DJZ3ZBPJGMYGCYHJAF2DKTM

not attested not anchored not stored refs pending

Koszul duality and Calabi-Yau structures

Julian Holstein, Manuel Rivera

arxiv:2410.03604 v3 · 2024-10-04 · math.AT · math.CT · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZ2DJZ3ZBPJGMYGCYHJAF2DKTM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T10:54:37.277725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7434e7790bd26660c2c1d202e86a9b1566d291c8238d238ac907f98dcae47c

Aliases

arxiv: 2410.03604 · arxiv_version: 2410.03604v3 · doi: 10.48550/arxiv.2410.03604 · pith_short_12: PZ2DJZ3ZBPJG · pith_short_16: PZ2DJZ3ZBPJGMYGC · pith_short_8: PZ2DJZ3Z

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PZ2DJZ3ZBPJGMYGCYHJAF2DKTM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7e7434e7790bd26660c2c1d202e86a9b1566d291c8238d238ac907f98dcae47c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660ebe6ec6c5aa8ea92a80469f4422485be403fd08b4e22b3e8815b05de237a2",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-10-04T17:05:28Z",
    "title_canon_sha256": "d0e9bf7a97cbe43488b75d2f06a06f098d9cd007a6518a0f2b68c93ba0e97c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.03604",
    "kind": "arxiv",
    "version": 3
  }
}